Some of the good rated universities which have BBA course in UP state are:

• Galgotia University
• Amity university
• IIMT, Greater Noida
• Sharda University
• Shiv Nadar University
• Integral University

You can refer to their official sites for the admission and application process as it will vary for all the colleges. Generally there is an entrance test for BBA course admission in India.

Good Luck.